What is simplify-2(x+3)+4(x+y-2)+(-y) ?

The solution to simplify-2(x+3)+4(x+y-2)+(-y) is 2x+3y-14

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simplify-2(x+3)+4(x+y-2)+(-y)

simplify

- 2 (x + 3) + 4 (x + y - 2) + (- y)

2 x + 3 y - 14

Solution steps

- 2 (x + 3) + 4 (x + y - 2) + (- y)

Apply rule:

a + (- b) = a - b

4 (x + y - 2) + (- y) = 4 (x + y - 2) - y

= - 2 (x + 3) + 4 (x + y - 2) - y

Expand

- 2 (x + 3) : - 2 x - 6

= - 2 x - 6 + 4 (x + y - 2) - y

Expand

4 (x + y - 2) : 4 x + 4 y - 8

= - 2 x - 6 + 4 x + 4 y - 8 - y

Group like terms

= - 2 x + 4 x + 4 y - y - 6 - 8

Add similar elements:

- 2 x + 4 x = 2 x

= 2 x + 4 y - y - 6 - 8

Add similar elements:

4 y - y = 3 y

= 2 x + 3 y - 6 - 8

Subtract the numbers:

- 6 - 8 = - 14

= 2 x + 3 y - 14

- (x + 2)

- 2 (x - 2)

\frac{cos ( 2 x )}{cos ( x ) + sin ( x )}

\frac{3}{x + 1} + \frac{1}{x - 2} - \frac{4}{x}

\frac{tan ^{2} ( x )}{1 + tan ^{2} ( x )}

What is simplify-2(x+3)+4(x+y-2)+(-y) ?
The solution to simplify-2(x+3)+4(x+y-2)+(-y) is 2x+3y-14